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Finding the Fourth Proportional to 1,807.73, 2,711.47 and 575.21

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Solution

The fourth proportional to 1,807.73, 2,711.47 and 575.21 is: 862.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.73 : 2,711.47 = 575.21 : x
  2. Step 2: Convert to fraction form
    1,807.73/2,711.47 = 575.21/x
  3. Step 3: Cross multiply
    1,807.73x = 2,711.47 × 575.21
  4. Step 4: Simplify right side
    1,807.73x = 1,559,664.66
  5. Step 5: Solve for x
    x = 1,559,664.66/1,807.73
  6. Step 6: Final answer
    x = 862.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.